Answer:
√3 - 2.
Step-by-step explanation:
Let A = 330 degrees so A/2 = 165 degrees.
tan A/2 = (1 - cos A) / sin A
tan 165 = (1 - cos 330) / sin 330
= (1 - √3/2) / (-1/2)
= -2(1 - √3/2)
= -2 + 2 * √3/2
= √3 - 2.
Answer:
Proportion states that the two ratios or fraction are equal.
As per the given statement: For every 3 ounces of peanuts, there are 2 ounces of cashews. A batch has 60 ounces of peanuts.
Let x be the ounces of cashew will a batch have.
then by definition of proportion, we have;
![\frac{3}{2} = \frac{60}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%20%3D%20%5Cfrac%7B60%7D%7Bx%7D)
By cross multiply we have;
![3x = 120](https://tex.z-dn.net/?f=3x%20%3D%20120)
Divide by 3 on both sides we get;
![x = 40](https://tex.z-dn.net/?f=x%20%3D%2040)
therefore, 40 ounces of cashews will a batch have for every 60 ounces of peanuts.
Answer:
Number of year = 13 year and 6 month approx.
Step-by-step explanation:
Given:
Amount invested = $80,000
Rate of interest = 6% compounded continuously
Future value of investment = $175,600
Find:
Number of year
Computation:
Future value of investment = Amount invested[1 + Rate of interest]ⁿ
175,600 = 80,000[1+6%]ⁿ
175,600 = 80,000[1+0.06]ⁿ
175,600 = 80,000[1.06]ⁿ
Number of year = 13.492 year
Number of year = 13 year and 6 month approx.